Results 31 to 40 of about 300 (139)

Unveiling new insights: taming complex local fractional Burger equations with the local fractional Elzaki transform decomposition method

open access: yesFrontiers Appl. Math. Stat.
This study aims to address the difficulties in solving coupled generalized non-linear Burger equations using local fractional calculus as a framework. The methodology used in this work, particularly in the area of local fractional calculus, combines the ...
Ghaliah Alhamzi   +3 more
semanticscholar   +1 more source

Simplifying Two Families of Nonlinear Ordinary Differential Equations

open access: yes, 2017
In the paper, by virtue of techniques in combinatorial analysis, the authors simplify two families of nonlinear ordinary differential equations in terms of the Stirling numbers of the first kind.
Feng Qi (祁锋)   +2 more
semanticscholar   +1 more source

A Hypothetical‐Mathematical Model of Acute Myeloid Leukaemia Pathogenesis

open access: yesComputational and Mathematical Methods in Medicine, Volume 11, Issue 1, Page 49-65, 2010., 2010
Acute myeloid leukaemia is defined by the expansion of a mutated haematopoietic stem cell clone, with the inhibition of surrounding normal clones. Haematopoiesis can be seen as an evolutionary tree, starting with one cell that undergoes several divisions during the expansion phase, afterwards losing functional cells during the aging‐related contraction
Andrei Cucuianu, Radu Precup
wiley   +1 more source

The jump phenomenon associated with the dynamics of the duffing equation

open access: yesPhysics Open, 2020
The mathematical nature of the jump phenomenon associated with the damped, harmonically forced Duffing equation is investigated, as regards the amplitude of the harmonic response of the system.
M.P. Markakis
doaj   +1 more source

Mathematical Model Creation for Cancer Chemo‐Immunotherapy

open access: yesComputational and Mathematical Methods in Medicine, Volume 10, Issue 3, Page 165-184, 2009., 2009
One of the most challenging tasks in constructing a mathematical model of cancer treatment is the calculation of biological parameters from empirical data. This task becomes increasingly difficult if a model involves several cell populations and treatment modalities.
Lisette de Pillis   +7 more
wiley   +1 more source

A study on the transmission dynamics of COVID-19 considering the impact of asymptomatic infection

open access: yesJournal of Biological Dynamics, 2023
The COVID-19 epidemic has been spreading around the world for nearly three years, and asymptomatic infections have exacerbated the spread of the epidemic.
Chuanqing Xu   +7 more
doaj   +1 more source

Fluid‐Retention Side‐Effects of the Chemotherapy‐Supportive Treatment Interleukin‐11: Mathematical Modelling of Putative Underlying Mechanisms

open access: yesComputational and Mathematical Methods in Medicine, Volume 7, Issue 2-3, Page 71-84, 2006., 2006
Interleukin‐11 (IL‐11) is a pleiotropic thrombopoietic cytokine and immune modulator, clinically approved for alleviation of chemotherapy‐induced thrombocytopenia in non‐myeloid malignancies. IL‐11 therapy exerts fluid accumulation‐associated adverse effects, complicating its administration and limiting its use.
Yuri Kheifetz   +3 more
wiley   +1 more source

On infinite system of Caputo fractional differential inclusions with boundary conditions for convex-compact multivalued mappings

open access: yesAlexandria Engineering Journal, 2020
Y. Xu (2016) investigated existence results of Caputo fractional differential equations with integral and anti-periodic boundary conditions of fractional order α∈(1,2).
Mahnaz Khanehgir   +3 more
doaj   +1 more source

A novel integrability analysis of a generalized Riemann type hydrodynamic hierarchy

open access: yes, 2018
The complete integrability of a generalized Riemann type hydrodynamic hierarchy is studied by means of a novel combination of symplectic and differential-algebraic tools.
A. Samoilenko   +3 more
semanticscholar   +1 more source

Effect of randomly fluctuating environment on autotroph‐herbivore model system

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 68, Page 3703-3716, 2004., 2004
First we deal with a brief introduction of the autotroph‐herbivore model system along with deterministic analysis of local stability, bifurcation behavior, and persistence of the populations. The second part consists of the stochastic formulation of the model system to incorporate the effect of environmental fluctuation and then analysis of ...
Tapan Saha, Malay Bandyopadhyay
wiley   +1 more source

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